From fe24d29b3c8684f08dccd01f5785aa48b7137322 Mon Sep 17 00:00:00 2001
From: mihaf <miha.fosnaric@gmail.com>
Date: Tue, 25 Mar 2014 12:49:06 +0000
Subject: [PATCH] Added nucleus. Better initial configuration of filaments.

---
 src/sh.c |   82 +++++++++++++++++++++++++++++++++++------
 1 files changed, 70 insertions(+), 12 deletions(-)

diff --git a/src/sh.c b/src/sh.c
index 12a6ce4..0c4b06d 100644
--- a/src/sh.c
+++ b/src/sh.c
@@ -9,7 +9,7 @@
     ts_uint j,i;
     ts_spharm *sph=(ts_spharm *)malloc(sizeof(ts_spharm));
 
-    
+    sph->N=0;
     /* lets initialize Ylm for each vertex. */
     sph->Ylmi=(ts_double ***)calloc(l,sizeof(ts_double **));
     for(i=0;i<l;i++){
@@ -25,6 +25,11 @@
         sph->ulm[j]=(ts_double *)calloc(2*j+1,sizeof(ts_double));
     }
 
+    /* lets initialize sum of Ulm2 */
+    sph->sumUlm2=(ts_double **)calloc(l,sizeof(ts_double *));
+    for(j=0;j<l;j++){
+        sph->sumUlm2[j]=(ts_double *)calloc(2*j+1,sizeof(ts_double));
+    }
 
     /* lets initialize co */
 //NOTE: C is has zero based indexing. Code is imported from fortran and to comply with original indexes we actually generate one index more. Also second dimension is 2*j+2 instead of 2*j+2. elements starting with 0 are useles and should be ignored!
@@ -46,6 +51,7 @@
     int i,j;
     for(i=0;i<sph->l;i++){
         if(sph->ulm[i]!=NULL) free(sph->ulm[i]);
+        if(sph->sumUlm2[i]!=NULL) free(sph->sumUlm2[i]);
         if(sph->co[i]!=NULL) free(sph->co[i]);
     }
         if(sph->co[sph->l]!=NULL) free(sph->co[sph->l]);
@@ -69,7 +75,7 @@
 }
 
 /* Gives you legendre polynomials. Taken from NR, p. 254 */
-ts_double plgndr(ts_int l, ts_int m, ts_float x){
+ts_double plgndr(ts_int l, ts_int m, ts_double x){
 	ts_double fact, pll, pmm, pmmp1, somx2;
 	ts_int i,ll;
 
@@ -120,7 +126,9 @@
 }
 
 
+/** @brief: Precomputes coefficients that are required for spherical harmonics computations.
 
+*/
 ts_bool precomputeShCoeff(ts_spharm *sph){
     ts_int i,j,al,am;
     ts_double **co=sph->co;
@@ -141,7 +149,16 @@
 }
 
 
-/*Computes Y(l,m,theta,fi) (Miha's definition that is different from common definition for  factor srqt(1/(2*pi)) */
+/** @brief: Computes Y(l,m,theta,fi) 
+ *
+ * Function calculates Y^l_m for vertex with given (\theta, \fi) coordinates in
+ * spherical coordinate system.
+ * @param l is an ts_int argument.
+ * @param m is an ts_int argument.
+ * @param theta is ts_double argument.
+ * @param fi is a ts_double argument.
+ *
+ * (Miha's definition that is different from common definition for  factor srqt(1/(2*pi)) */
 ts_double shY(ts_int l,ts_int m,ts_double theta,ts_double fi){
 	ts_double fac1, fac2, K;
 	int i;
@@ -221,6 +238,7 @@
 ts_bool preparationSh(ts_vesicle *vesicle, ts_double r0){
 //TODO: before calling or during the call calculate area of each triangle! Can
 //be also done after vertexmove and bondflip //
+//DONE: in energy calculation! //
     ts_uint i,j;
     ts_vertex **vtx=vesicle->vlist->vtx;
     ts_vertex *cvtx;
@@ -263,7 +281,7 @@
     r=sqrtl(cvtx->x*cvtx->x+cvtx->y*cvtx->y+cvtx->z*cvtx->z);
 #endif
     cvtx->relR=(r-r0)/r0;
-    cvtx->solAngle=cvtx->projArea/cvtx->relR * cvtx->projArea/cvtx->relR;
+    cvtx->solAngle=cvtx->projArea/r/r;
     }
     return TS_SUCCESS;
 }
@@ -271,10 +289,11 @@
 
 
 ts_bool calculateYlmi(ts_vesicle *vesicle){
-    ts_uint i,j,k;
+    ts_int i,j,k;
     ts_spharm *sph=vesicle->sphHarmonics;
     ts_coord *coord=(ts_coord *)malloc(sizeof(ts_coord));
     ts_double fi, theta;
+	ts_int m;
     ts_vertex *cvtx;
     for(k=0;k<vesicle->vlist->n;k++){
         cvtx=vesicle->vlist->vtx[k];
@@ -282,13 +301,34 @@
         cart2sph(coord,cvtx->x, cvtx->y, cvtx->z);
         fi=coord->e2;
         theta=coord->e3; 
-        for(i=0; i<sph->l; i++){
+        for(i=1; i<sph->l; i++){
             for(j=0;j<i;j++){
-                sph->Ylmi[i][j][k]=sph->co[i][j]*cos((j-i-1)*fi)*pow(-1,j-i-1)*plgndr(i,abs(j-i-1),cos(theta));
+			m=j+1;
+//Nastudiraj!!!!!
+                sph->Ylmi[i][j][k]=sph->co[i][m]*cos((m-i-1)*fi)*pow(-1,m-i-1)*plgndr(i,abs(m-i-1),cos(theta));
+		if(i==2 && j==0){
+	/*	fprintf(stderr," **** vtx %d ****\n", k+1);
+		fprintf(stderr,"m-i-1 =%d\n",m-i-1);
+		fprintf(stderr,"fi =%e\n",fi);
+		fprintf(stderr,"(m-i-1)*fi =%e\n",((ts_double)(m-i-1))*fi);
+		fprintf(stderr,"-2*fi =%e\n",-2*fi);
+		fprintf(stderr,"m =%d\n",m);
+	
+		fprintf(stderr," cos(m-i-1)=%e\n",cos((m-i-1)*fi));
+		fprintf(stderr," cos(-2*fi)=%e\n",cos(-2*fi));
+		fprintf(stderr," sph->co[i][m]=%e\n",sph->co[i][m]);
+		fprintf(stderr," plgndr(i,abs(m-i-1),cos(theta))=%e\n",plgndr(i,abs(m-i-1),cos(theta)));
+*/
+		}
             }
-                sph->Ylmi[i][j+1][k]=sph->co[i][j+1]*plgndr(i,0,cos(theta));
-            for(j=sph->l;j<2*i;j++){
-                sph->Ylmi[i][j][k]=sph->co[i][j]*sin((j-i-1)*fi)*plgndr(i,j-i-1,cos(theta));
+//Nastudiraj!!!!!
+		j=i;
+		m=j+1;
+                sph->Ylmi[i][j][k]=sph->co[i][m]*plgndr(i,0,cos(theta));
+            for(j=i+1;j<2*i+1;j++){
+			m=j+1;
+//Nastudiraj!!!!!
+                sph->Ylmi[i][j][k]=sph->co[i][m]*sin((m-i-1)*fi)*plgndr(i,m-i-1,cos(theta));
             }
         }
 
@@ -303,7 +343,7 @@
     ts_uint i,j,k;
     ts_vertex *cvtx;
     for(i=0;i<vesicle->sphHarmonics->l;i++){
-        for(j=0;j<2*i;j++) vesicle->sphHarmonics->ulm[i][j]=0.0;
+        for(j=0;j<2*i+1;j++) vesicle->sphHarmonics->ulm[i][j]=0.0;
     }
 
 //TODO: call calculateYlmi !!!
@@ -312,7 +352,7 @@
     for(k=0;k<vesicle->vlist->n; k++){
         cvtx=vesicle->vlist->vtx[k];
         for(i=0;i<vesicle->sphHarmonics->l;i++){
-            for(j=0;j<2*i;j++){
+            for(j=0;j<2*i+1;j++){
                 vesicle->sphHarmonics->ulm[i][j]+= cvtx->solAngle*cvtx->relR*vesicle->sphHarmonics->Ylmi[i][j][k];
             }
 
@@ -321,3 +361,21 @@
 
     return TS_SUCCESS;
 }
+
+
+
+
+
+ts_bool storeUlm2(ts_vesicle *vesicle){
+
+ts_spharm *sph=vesicle->sphHarmonics;
+ts_int i,j;
+for(i=0;i<sph->l;i++){
+    for(j=0;j<2*i+1;j++){
+	/* DEBUG fprintf(stderr,"sph->sumUlm2[%d][%d]=%e\n",i,j,sph->ulm[i][j]* sph->ulm[i][j]); */
+        sph->sumUlm2[i][j]+=sph->ulm[i][j]* sph->ulm[i][j];
+    }
+}
+	sph->N++;
+return TS_SUCCESS;
+}

--
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